1 / 20

Forms of Slope

This guide explores point-slope form, slope-intercept form, and standard form of linear equations, with a focus on finding slopes and intercepts quickly. Practice questions and explanations provided.

wnovak
Download Presentation

Forms of Slope

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Forms of Slope 6 questions for 10 points

  2. Question #1 • y = mx + b is called ____________. • (A) Point-slope form • (B) Slope intercept form • (C) Standard form

  3. Question #2 • Ax + By = C is called ___________. • (A) Point-slope form • (B) Slope intercept form • (C) Standard form

  4. Question #3 • Which form is easiest to use when finding the x-intercept of an equation? • (A) Point-slope form • (B) Slope intercept form • (C) Standard form

  5. Question #4 • Which form DOES NOT have an m(slope)? • (A) Point-slope form • (B) Slope intercept form • (C) Standard form

  6. Question #5 • Which form COULD look like this: y + 3 = -4(x – 5) • (A) Point-slope form • (B) Slope intercept form • (C) Standard form

  7. Question #6 • Given, y = 2x – 7, the -7 represents the ______. • (A) y-intercept • (B) slope • (C) both A and B

  8. Forms of a Line Slope-intercept form Standard form Point-slope form

  9. m = slope b = y-intercept y = mx + b Slope-intercept Form

  10. What is the slope(m) and y-intercept(b) of this equation? y = 7x + 11 Since this already in the right form, m = 7 and b = 11 Slope-intercept Formy = mx + b

  11. What is the slope(m) and y-intercept(b) of this equation? y = 4/5x - 6 Since this already in the right form, m = 4/5 and b = -6 the “y” term is all by itself on the left side of the equation. That is very important! Slope-intercept Formy = mx + b

  12. WHY?If the “y” is not all by itself, then we must first use the rules of algebra to isolate the “y” term.For example in the equation: 2y = 8x + 10 You will notice that in order to get “y” all by itself we have to divide both sides by 2. After you have done that, the equation becomes: y = 4x + 5 Now m = 4 and the y-intercept = 5

  13. 2x – y = 10 -2x -2x -y = -2x + 10 -1 -1 -1 y = 2x + 10 x + 2y = 8 -x -x 2y = -x + 8 2 2 2 y = -1x + 4 2 The Harder Ones! Uh Oh!

  14. WHY SLOPE-INTERCEPT FORM?

  15. 4x + 8y = 16 Find the y-intercept What is x always? It is 0, so 4(0) + 8y = 16 8y = 16 y = 2 So (0, 2) 4x + 8y = 16 Find the x-intercept What is y always? It is 0, so 4x + 8(0) = 16 4x = 16 x = 4 So (4, 0) STANDARD FORM OF A LINE

  16. -3x + 5y = -3 Find the y-intercept What is x always? It is 0, so -3(0) + 5y = -3 5y = -3 y = -3/5 So (0, -3/5) -3x + 5y = -3 Find the x-intercept What is y always? It is 0, so -3x + 5(0) = -3 -3x = -3 x = 1 So (1, 0) STANDARD FORM OF A LINE PRACTICE

  17. WHY STANDARD FORM OF A LINE THIS WILL BE GREAT FOR FINDING BOTH x and y intercepts quickly

  18. Given one point and the slope, you can graph the point and use the slope to determine a second point to graph. y – 1 = ⅘(x – 3) The point would be (3, 1) and the slope would be ⅘. Note: Point-Slope Form is negative!!!!!!!!!! Plot (3,1) rise 4 and run 5 to the point(8,5) Point-Slope Formy – y1 = m(x – x1)

  19. y – 4 = -3(x – 1)

  20. IN CLOSING, You can take any of the forms of a line and change it to another with algebra and some brains! y = 4x – 2

More Related